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Finding the Third Proportional to 777.80 and 1,151.30

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Solution

The third proportional to 777.80 and 1,151.30 is: 1,704.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.80 : 1,151.30 = 1,151.30 : x
  2. Step 2: Convert to fraction form
    777.80/1,151.30 = 1,151.30/x
  3. Step 3: Cross multiply
    777.80x = 1,151.30 × 1,151.30
  4. Step 4: Simplify right side
    777.80x = 1,325,484.49
  5. Step 5: Solve for x
    x = 1,325,484.49/777.80
  6. Step 6: Final answer
    x = 1,704.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.